The properties of solutions of a linear programming problem are established and the simplex method for solving a linear programming problem is presented in detail. Throughout the paper, a simple ...

This case study involved a sophisticated application of Linear Programming (LP) to solve an optimization problem, where the objective was to maximize a specific value. Using the SIMPLEX algorithm, a ...

The SimplexMethod package provides an efficient implementation of the Simplex Algorithm for solving linear programming (LP) problems. It supports both maximization and minimization of objective ...

Linear programming (LP) has been one of the most dynamic areas of applied mathematics in the last sixty years. LP was solved in the late 1960s by Dantzig’s simplex method [1] . But, many variants of ...

Linear programming is the most fundamental optimization problem with applications in many areas including engineering, management, and economics. The simplex method is a practical and efficient ...

Linear programming(LP) is the term used for defining a wide range of optimization problems in which the objective function to be minimized or maximized is linear in the unknown variables and the ...

Abstract: The article describes the implementation of solving a non-classical transport problem by the criterion of time using the linear simplex method in the Microsoft Excel software product. The ...